Direct Variation What is direct variation? Two variables are said to vary directly if their ratio is constant (k) This is also called direct proportion The graphs of these models always start at th...
Exponential Models What are the parameters of an exponential model? An exponential model is of the form Where e is the mathematical constant 2.718… The c represents the boundary for the function It...
Quadratic Models What are the parameters of a quadratic model? This is given in the formula booklet as the axis of symmetry What can be modelled as a quadratic model? These can be used if the graph...
Linear Models What are the parameters of a linear model? The m represents the rate of change of the function This is the amount the function increases/decreases when x increases by 1 If the functio...
Quadratic Functions & Graphs What are the key features of quadratic graphs? If a is positive then the vertex is the minimum point If a is negative then the vertex is the maximum point Exam Tip ...
Graphing Functions How do I graph the function y = f(x)? What is the difference between “draw” and “sketch”? If asked to sketch you should: Show the general shape Label any key points such as the i...
Language of Functions What is a mapping? A mapping transforms one set of values (inputs) into another set of values (outputs) Mappings can be: One-to-one Each input gets mapped to exactly one uniqu...
Equations of a Straight Line How do I find the gradient of a straight line? Find two points that the line passes through with coordinates (x1, y1) and (x2, y2) The gradient between these two points...
Diagonalisation What is matrix diagonalisation? A non-zero, square matrix is considered to be diagonal if all elements not along its leading diagonal are zero You will only need to consider matrice...
